A school received 2 orders of new chairs. The first order contained 180 chairs. The second order contained 204 chairs. Each of the 17 classrooms received the same number of chairs. How many chairs will be put in storage as extra chairs? (1 point) Responses 10 10 17 17 22 22 44

1 answer

To find out how many chairs will be put in storage as extra chairs, we first need to determine the total number of chairs received and then how many chairs would be evenly distributed among the classrooms.

  1. Calculate the total number of chairs received: \[ 180 + 204 = 384 \text{ chairs} \]

  2. Determine how many chairs can be evenly distributed to the 17 classrooms: \[ \text{Chairs per classroom} = \frac{384}{17} \] Performing the division: \[ \frac{384}{17} = 22.588... \text{ (approximately)} \] Since we can only use whole chairs, we take the integer part: \[ 22 \text{ chairs per classroom} \]

  3. Calculate the total number of chairs distributed to the classrooms: \[ 22 \text{ chairs/classroom} \times 17 \text{ classrooms} = 374 \text{ chairs} \]

  4. Finally, find out how many chairs are left in storage: \[ \text{Extra chairs} = 384 - 374 = 10 \text{ chairs} \]

Thus, the number of chairs that will be put in storage as extra chairs is 10.